The results of a recent study regarding smoking and three types of illness are shown in the following table.
?
IllnessNon-Smokers
Smokers
Totals
Emphysema50
150
200
Heart problem50
150
200
Cancer100
500
600
Totals200
800
1000
?
?
?
?
?
?
We are interested in determining whether or not illness isindependentof smoking.
a.State the null and alternative hypotheses to be tested.b.Show thetable of the expected frequencies and determine the test statistic.c.The null hypothesis is to be tested at the .01 level. Determine the critical value for this test.d.What do you conclude??
What will be an ideal response?
a.H0: Illness is independent of smoking
Ha: Illness is not independent of smoking?b.
| Illness | Non-Smokers | Smokers | Totals |
| Emphysema | 40 | 160 | 200 |
| Heart problem | 40 | 160 | 200 |
| Cancer | 120 | 480 | 600 |
| Totals | 200 | 800 | 1000 |
d. Reject the H0; therefore, illness is not independent of smoking.
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